Mathematics Question(quickly)

2010-07-19 3:29 am
Find the units digit of the expression 1x2x3x...x2009x2010.
briefly explain your answer.
Quick quick!!

回答 (1)

2010-07-19 4:23 am
✔ 最佳答案
Method 1 ,1x2x3x...x2009x2010= (1 x 2 x 3 x 4 x 5) x 6 x 7 x 8 x ... x 2009 x 2010= (10 x 1 x 3 x 4) x 6 x 7 x 8 x ... x 2009 x 2010 which is a multiple of 10 ,so the units digit of the expression is 0.

Method 2 ,1x2x3x...x2009x2010= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x (10) x 11 x 12 x ... x 2009 x 2010= 10 x (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) x 11 x 12 x ... x 2009 x 2010which is a multiple of 10 , so the units digit of the expression is 0.

Method 3 ,Since the units digit of 2010 is 0 , so the units digit of the expression is 0 also.


收錄日期: 2021-04-21 22:16:11
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100718000051KK01282

檢視 Wayback Machine 備份